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Viewing: MATH 6101 : Algebra I

Last approved: Wed, 21 Jan 2015 09:22:28 GMT

Last edit: Tue, 13 Jan 2015 18:18:46 GMT

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In The Catalog Prerequisites:

MATH 6120 : Topics in Algebra

In The Catalog Description:

MATH 6102 : Algebra II
Columbian College of Arts and Sciences
Mathematics (MATH)
Algebra I
Algebra I
Fall 2015
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Group theory including symmetric groups, free abelian groups, finitely generated abelian groups, group actions, Sylow theorems, solvable groups. Ring theory including factorization in commutative rings, rings of polynomials, chain conditions.
After completing this course, students will be able to:
• Recall all basic definitions and theorems of group theory and ring theory.
• Reproduce proofs of all basic theorems in group theory and ring theory.
• Apply the basic definitions and theorems in group theory and ring theory in calculating a variety of
concrete and abstract examples.
• Apply the basic definitions and theorems in group theory and ring theory, as well as adapting previously
learned proofs and devising original proof ideas, to prove a variety of previously unfamiliar statements.
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Key: 5624